Question

A physics instructor wants to project a spectrum of visible-light colors from 400 nm to 700 nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating that has 700 lines per mm , projecting a pattern on a screen 2.9 m behind the grating. How wide is the spectrum that corresponds to m = 1? How much distance separates the end of the m = 1 spectrum and the start of the m = 2 spectrum?

Answer 1

de Soit widtn =0.00 14-29 x lo m A 400 nM dsinom n (1,4 2g x toSino1x (400x 1 Sinoo.2799 016.255 Locattem fist maxima D= SCoeend stance =2.gm tamo Y Dtam c9 Y 2.g tam (16.25s Y0.846 m an 700nm (1.429x 10-) Sio'x (70019) 29.33 2.9 tam (2 g 33) y' 1.629 m wielh o spectrum = Y-Y 129-o&4 6 O.783 m M 2 (1,42gx10 6) Sino z 2x (400y t6 0 34.04 4 2.g tam (34.04) = 1.9g9 m. dustemue -1.629 1I59 o-33 m Ay' 6.33 m

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